ECTS - University of Pisa
Scheda programma d'esame
PROBABILITY CALCULATION AND STATISTICS
DARIO TREVISAN
Academic year2016/17
CourseCOMPUTER SCIENCE
Code269AA
Credits6
PeriodSemester 1
LanguageItalian

ModulesAreaTypeHoursTeacher(s)
CALCOLO DELLE PROBABILITA' E STATISTICAMAT/06LEZIONI48
DARIO TREVISAN unimap
Programma non disponibile nella lingua selezionata
Learning outcomes
Knowledge
The student who successfully completes the course will be aware of the main concepts of Probability and Statistics, though with a not too big mathematical apparatus. He will be able of treat simple practical situations in which Probability and/or Statistical concepts are involved.
Assessment criteria of knowledge
In the written exam (3 hours, choice of 2 essay questions), the student must demonstrate his/her knowledge of the course material and to organise an effective and correctly written reply. During the oral exam the student must be able to demonstrate his/her knowledge of the course material and be able to discuss the reading matter thoughtfully and with propriety of expression.

Methods:

  • Final oral exam
  • Final written exam
  • Periodic written tests
Teaching methods

Delivery: face to face

Learning activities:

  • attending lectures
  • individual study
  • Laboratory work

Attendance: Advised

Teaching methods:

  • Lectures
  • laboratory
Syllabus
Probability spaces, events, discrete random variables and their densities, continuous random variables, distribution function, absolutely continuous random variables and their densities. Calculation with densities. Mathematical expectation and its main properties. Variance and its main proerties. Markov and Chebychev inequalities. Gaussian densities. Use of the statistical tables. Chi square and t densities. Central limit Theorem, Cochran Theorem, estimators, unbiased estimators, maximum likelihood estimators. Quadratic loss of estimators. Confidence intervals. Test, gaussian tests.
Bibliography
Recommended reading includes s: R. Giuliano, "Argomenti di Probabilita' e Statistica", Springer. Further bibliography will be indicated during the lectures if necessary.
Work placement
Students will occasionally be asked to solve exercises at the blackboard.
Updated: 14/11/2016 17:27